Perturbation theory of boundary value problems and approximate controllability of perturbed boundary control problems

Author

Hadd, Said ; Zhong, Qing-Chang

Author_Institution

Dept. of Electr. Eng.&Electron., Univ. of Liverpool, Liverpool, UK

fYear

2008

fDate

9-11 Dec. 2008

Firstpage

1465

Lastpage

1470

Abstract

A semigroup approach for the well-posedness of perturbed nonhomogeneous abstract boundary value problems is developed in this paper. This allows us to introduce a useful variation of constant formula for the solutions. Drawing from this formula, necessary and sufficient conditions for the approximate controllability of such systems are obtained, using the feedback theory of well-posed and regular linear systems developed by Salamon, Staffans and Weiss.

Keywords

boundary-value problems; controllability; feedback; linear systems; perturbation techniques; approximate controllability; feedback theory; necessary conditions; perturbation theory; perturbed boundary control problem; perturbed nonhomogeneous abstract boundary value problem; regular linear systems; semigroup approach; sufficient conditions; well-posed linear systems; well-posedness; Boundary value problems; Control systems; Controllability; Feedback; Linear systems; Open loop systems; Partial differential equations; State-space methods; Sufficient conditions; Thermoelasticity; Boundary value problem; approximate controllability; perturbation theory; regular systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Conference_Location

Cancun

ISSN

0191-2216

Print_ISBN

978-1-4244-3123-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2008.4739281

Filename

4739281